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Popular >

extreme (x^2+12)(4-x^2)

Solution

extreme points

(x^{2} + 12) (4 - x^{2})

Solution

Maximum (0, 48)

Solution steps

f^{'} (x) = - 4 x (x^{2} + 4)

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

(x^{2} + 12) (4 - x^{2}) : 48

Maximum (0, 48)

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Frequently Asked Questions (FAQ)

What is the extreme (x^2+12)(4-x^2) ?
The extreme (x^2+12)(4-x^2) is Maximum(0,48)